10204838280 has 384 divisors, whose sum is σ = 41927558400. Its totient is φ = 2094667776.

The previous prime is 10204838279. The next prime is 10204838321. The reversal of 10204838280 is 8283840201.

It is a happy number.

10204838280 is a `hidden beast` number, since 1 + 0 + 20 + 483 + 82 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207911 + ... + 1216329.

It is an arithmetic number, because the mean of its divisors is an integer number (109186350).

Almost surely, 2^10204838280 is an apocalyptic number.

10204838280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204838280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963779200).

10204838280 is an abundant number, since it is smaller than the sum of its proper divisors (31722720120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204838280 is a wasteful number, since it uses less digits than its factorization.

10204838280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10204838280 in words is "ten billion, two hundred four million, eight hundred thirty-eight thousand, two hundred eighty".